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10313222232 = 2333716676967
BaseRepresentation
bin10011001101011011…
…10100100001011000
3222121202010222020210
421212231310201120
5132110141102412
64423212051120
7513366641205
oct114655644130
928552128223
1010313222232
1144125aa565
121bb9a63aa0
13c84867681
146db9b8cac
1540562e83c
hex266b74858

10313222232 has 64 divisors (see below), whose sum is σ = 26499582720. Its totient is φ = 3342342528.

The previous prime is 10313222207. The next prime is 10313222233. The reversal of 10313222232 is 23222231301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10313222199 and 10313222208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313222233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476813 + ... + 1483779.

It is an arithmetic number, because the mean of its divisors is an integer number (414055980).

Almost surely, 210313222232 is an apocalyptic number.

10313222232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249791360).

10313222232 is an abundant number, since it is smaller than the sum of its proper divisors (16186360488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10313222232 is a wasteful number, since it uses less digits than its factorization.

10313222232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10313222232 its reverse (23222231301), we get a palindrome (33535453533).

The spelling of 10313222232 in words is "ten billion, three hundred thirteen million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1667 3334 5001 6668 6967 10002 13336 13934 20004 20901 27868 40008 41802 55736 61679 83604 123358 167208 185037 246716 257779 370074 493432 515558 740148 773337 1031116 1480296 1546674 2062232 3093348 6186696 11613989 23227978 34841967 46455956 69683934 92911912 139367868 278735736 429717593 859435186 1289152779 1718870372 2578305558 3437740744 5156611116 10313222232